Finding the Fourth Proportional to 9,454.72, 13,047.78 and 5,206.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,454.72 : 13,047.78 = 5,206.24 : x
2. Step 2: Convert to fraction form
   9,454.72/13,047.78 = 5,206.24/x
3. Step 3: Cross multiply
   9,454.72x = 13,047.78 × 5,206.24
4. Step 4: Simplify right side
   9,454.72x = 67,929,874.15
5. Step 5: Solve for x
   x = 67,929,874.15/9,454.72
6. Step 6: Final answer
   x = 7,184.76